## Ashyralyev, Allaberen

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 Author ID: ashyralyev.allaberen Published as: Ashyralyev, Allaberen; Ashyralyev, A.; Ashyralyev, A. O.; Ashyralev, Allaberen; Ashyraliev, A. O.; Ashyralyev, A more...less Homepage: http://staff.neu.edu.tr/allaberen.ashyralyev External Links: MGP · ORCID · Math-Net.Ru · dblp · GND
 Documents Indexed: 214 Publications since 1981, including 2 Books 5 Contributions as Editor Biographic References: 1 Publication Co-Authors: 83 Co-Authors with 190 Joint Publications 1,302 Co-Co-Authors
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### Co-Authors

 28 single-authored 20 Sobolevskii, Pavel Evseyevich 14 Erdogan, Abdullah Said 12 Ağirseven, Deniz 8 Koksal, Mehmet Emir 7 Akturk, Sema 7 Ozdemir, Yildirim 6 Gercek, Okan 6 Hicdurmaz, Betul 6 Ozturk, Elif 6 Sozen, Yasar 6 Yildirim, Ozgur 6 Yurtsever, Hasan Ali 5 Belakroum, Kheireddine 5 Guezane-Lakoud, Assia 5 Piskarëv, S. I. 5 Sirma, Ali 4 Agarwal, Ravi P. 4 Cakir, Zafer 4 Sarsenbi, Abdizhahan M. 4 Sazaklioglu, Ali Ugur 3 Aggez, Necmettin 3 Akça, Haydar 3 Arslan, Nurullah 3 Dal, Fadime 3 Hamad, Ayman 3 Sharifov, Yagub A. 3 Tetikoglu, Fatma Songul Ozesenli 3 Urun, Mesut 3 Yılmaz, Serhat 2 Amanov, Djumaklych 2 Arjmand, Doghonay 2 Ashyraliyev, Maksat 2 Ashyralyyeva, Maral Allaberenovna 2 Emharab, Fathi 2 Hanalyev, Asker 2 Judakova, G. 2 Karatay, İbrahim 2 Lukashov, Alekseĭ Leonidovich 2 Malkowsky, Eberhard 2 Nalbant, Neşe 2 Pastor, Javier 2 Pinar, Zehra 2 Prenov, Rahat 2 Sadybekov, Makhmud A. 2 Shahmurov, Rishad 2 Taskin, Abdulgafur 2 Tetikoglu, Fatih Sabahattin 2 Turk, Koray 1 Agirsevenb, Deniz 1 Akat, Muzaffer 1 Al-Hammouri, Ahmad 1 Ashurov, Ravshan Rajabovich 1 Ashyralyyev, Charyyar 1 Başar, Feyzi 1 Batyrov, Ahmet 1 Beigmohammadi, Elif Ozturk 1 Çekiç, Fatma 1 Ceylan, Burcu 1 Covachev, Valéry C. 1 Cuevas, Claudio 1 Emirov, Nazar 1 Fattorini, Hector O. 1 Güray, Ugur 1 Hidayat, Twana Abbas 1 Kal’menov, Tynysbek Sharipovich 1 Kendirli, Bariṣ 1 Koksal, Muhammet 1 Misirli, Emine E. 1 Modanli, Mahmut 1 Mogol, Ozlem 1 Özger, Faruk 1 Ruzhansky, Michael V. 1 San, Mehmet Emin 1 Sarsenbi, Abdisalam A. 1 Simsek, Sinem N. 1 Suragan, Durvudkhan 1 Tekalan, Sueda N. 1 Weis, Lutz W. 1 Yaz, Nergiz 1 Yenial-Altay, N. 1 Yeniçerioğlu, Fuat 1 Yurtsever, Alp 1 Zvyagin, Viktor Grigor’evich
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### Serials

 18 Abstract and Applied Analysis 15 Numerical Functional Analysis and Optimization 11 Boundary Value Problems 9 Computers & Mathematics with Applications 9 Filomat 9 Discrete Dynamics in Nature and Society 8 Applied Mathematics and Computation 7 Izvestiya Akademii Nauk Turkmenskoĭ SSR. Seriya Fiziko-Tekhnicheskikh, Khimicheskikh i Geologicheskikh Nauk 7 Electronic Journal of Differential Equations (EJDE) 6 Mathematical Methods in the Applied Sciences 5 Functional Differential Equations 5 Advances in Difference Equations 4 Applied and Computational Mathematics 3 Journal of the Franklin Institute 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Mathematical and Computer Modelling 3 AIP Conference Proceedings 3 Contemporary Analysis and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Ukrainian Mathematical Journal 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 Journal of Inverse and Ill-Posed Problems 2 Mathematical Problems in Engineering 2 Taiwanese Journal of Mathematics 2 Fractional Calculus & Applied Analysis 2 Nonlinear Analysis. Modelling and Control 2 TWMS Journal of Applied and Engineering Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 2 Operator Theory: Advances and Applications 1 Applicable Analysis 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Soviet Mathematics. Doklady 1 Applied Numerical Mathematics 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Neural, Parallel & Scientific Computations 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Differential Equations and Dynamical Systems 1 Journal of Inequalities and Applications 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 European Journal of Pure and Applied Mathematics 1 Mathematical Modelling of Natural Phenomena 1 International Journal for Numerical Methods in Biomedical Engineering 1 TWMS Journal of Pure and Applied Mathematics 1 Springer Proceedings in Mathematics & Statistics 1 Advances in Operator Theory
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### Fields

 150 Partial differential equations (35-XX) 143 Numerical analysis (65-XX) 81 Ordinary differential equations (34-XX) 34 Operator theory (47-XX) 12 Difference and functional equations (39-XX) 8 Functional analysis (46-XX) 7 Real functions (26-XX) 5 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

171 Publications have been cited 1,309 times in 464 Documents Cited by Year
New difference schemes for partial differential equations. Zbl 1060.65055
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
2004
On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Zbl 1077.39015
Ashyralyev, A.; Karatay, I.; Sobolevskii, P. E.
2004
A note on fractional derivatives and fractional powers of operators. Zbl 1175.26004
Ashyralyev, A.
2009
On well-posedness of the nonlocal boundary value problems for elliptic equations. Zbl 1055.35018
Ashyralyev, Allaberen
2003
On well-posedness of difference schemes for abstract parabolic equations in $$L^p([0,T];E)$$ spaces. Zbl 1022.65095
Ashyralyev, Allaberen; Piskarev, Serguei; Weis, Lutz
2002
A note on the difference schemes for hyperbolic equations. Zbl 1007.65064
Ashyralyev, A.; Sobolevskii, P. E.
2001
On a nonlocal boundary value problem for semilinear hyperbolic-parabolic equations. Zbl 1042.65536
Ashyralyev, A.; Yurtsever, A.
2001
A note on the difference schemes of the nonlocal boundary value problems for hyperbolic equations. Zbl 1065.35021
Ashyralyev, Allaberen; Aggez, Necmettin
2004
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Zbl 1094.65077
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
2005
On well-posedness of difference schemes for abstract elliptic problems in $$L^{p}([0, T];E)$$ spaces. Zbl 1140.65073
Ashyralyev, Allaberen; Cuevas, Claudio; Piskarev, Sergey
2008
On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations. Zbl 1201.65128
Ashyralyev, Allaberen; Yildirim, Ozgur
2010
A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space. Zbl 1154.34026
Ashyralyev, Allaberen
2008
A note on the fractional hyperbolic differential and difference equations. Zbl 1221.65212
Ashyralyev, Allaberen; Dal, Fadime; Pınar, Zehra
2011
Stability of difference schemes for hyperbolic-parabolic equations. Zbl 1088.65082
Ashyralyev, A.; Ozdemir, Y.
2005
On the numerical solution of fractional Schrödinger differential equations with the Dirichlet condition. Zbl 1255.65156
Ashyralyev, Allaberen; Hicdurmaz, Betul
2012
On the determination of the right-hand side in a parabolic equation. Zbl 1259.65139
Ashyralyev, A.; Erdogan, A. S.; Demirdag, O.
2012
Well-posedness of the Basset problem in spaces of smooth functions. Zbl 1217.34006
Ashyralyev, Allaberen
2011
Coercive solvability of the nonlocal boundary value problem for parabolic differential equations. Zbl 0996.35027
Ashyralyev, A.; Hanalyev, A.; Sobolevskii, P. E.
2001
Well-posedness of delay parabolic difference equations. Zbl 1417.39054
Ashyralyev, Allaberen; Agirseven, Deniz
2014
On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: well-posedness. Zbl 1291.34099
Ashyralyev, Allaberen; Ozturk, Elif
2012
Well-posedness of an elliptic equation with involution. Zbl 1335.35029
Ashyralyev, Allaberen; Sarsenbi, Abdizhahan M.
2015
Nonlocal boundary value problems for the Schrödinger equation. Zbl 1155.65368
Ashyralyev, Allaberen; Sirma, Ali
2008
A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator. Zbl 1201.65150
Ashyralyev, Allaberen; Koksal, Mehmet Emir; Agarwal, Ravi P.
2010
Existence and uniqueness of solutions for the system of nonlinear fractional differential equations with nonlocal and integral boundary conditions. Zbl 1246.34004
Ashyralyev, Allaberen; Sharifov, Yagub A.
2012
On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space. Zbl 1098.65055
Ashyralyev, Allaberen; Koksal, Mehmet Emir
2005
On source identification problem for a delay parabolic equation. Zbl 1336.35363
Ashyralyev, Allaberen; Agirseven, Deniz
2014
A stable numerical method for multidimensional time fractional Schrödinger equations. Zbl 1361.65056
Hicdurmaz, Betul; Ashyralyev, Allaberen
2016
Structure of fractional spaces generated by second order difference operators. Zbl 1293.47035
Ashyralyev, Allaberen; Nalbant, Neşe; Sözen, Yaşar
2014
On nonlocal boundary value problems for hyperbolic-parabolic equations. Zbl 1140.65039
Ashyralyev, Allaberen; Ozdemir, Yildirim
2007
Nonlocal boundary value problems for elliptic-parabolic differential and difference equations. Zbl 1168.35397
Ashyralyev, Allaberen; Gercek, Okan
2008
Well-posedness of a parabolic equation with involution. Zbl 06830114
Ashyralyev, Allaberen; Sarsenbi, Abdizhahan
2017
On the problem of determining the parameter of an elliptic equation in a Banach space. Zbl 1336.35364
Ashyralyev, Allaberen; Ashyralyyev, Charyyar
2014
On convergence of difference schemes for delay parabolic equations. Zbl 1350.65096
Ashyralyev, Allaberen; Agirseven, Deniz
2013
On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition. Zbl 1248.65085
Ashyralyev, Allaberen; Cakir, Zafer
2012
On difference schemes for hyperbolic-elliptic equations. Zbl 1354.65212
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
2004
FDM for fractional parabolic equations with the Neumann condition. Zbl 1380.65142
Ashyralyev, Allaberen; Cakir, Zafer
2013
A survey of results in the theory of fractional spaces generated by positive operators. Zbl 1369.47049
Ashyralyev, Allaberen
2015
On the problem of determining the parameter of a parabolic equation. Zbl 1240.35305
Ashyralyev, A.
2010
FDM for elliptic equations with Bitsadze-Samarskii-Dirichlet conditions. Zbl 1261.65107
Ashyralyev, Allaberen; Tetikoglu, Fatma Songul Ozesenli
2012
Nonlocal boundary-value problems for abstract parabolic equations: well-posedness in Bochner spaces. Zbl 1117.65077
Ashyralyev, Allaberen
2006
Finite difference and iteration methods for fractional hyperbolic partial differential equations with the Neumann condition. Zbl 1248.65086
2012
The numerical solution of the Bitsadze-Samarskii nonlocal boundary value problems with the Dirichlet-Neumann condition. Zbl 1246.65196
Ashyralyev, Allaberen; Ozturk, Elif
2012
Initial-boundary value problem for fractional partial differential equations of higher order. Zbl 1246.35201
Amanov, Djumaklych; Ashyralyev, Allaberen
2012
A note on the well-posedness of the nonlocal boundary value problem for elliptic difference equations. Zbl 1094.39004
Ashyralyev, A.; Altay, N.
2006
Fractional spaces generated by the positive differential and difference operators in a Banach space. Zbl 1130.46303
Ashyralyev, Allaberen
2007
Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space. Zbl 1156.65079
Ashyralyev, Allaberen; Koksal, Mehmet Emir
2007
On modified Crank-Nicolson difference schemes for stochastic parabolic equation. Zbl 1151.60033
Ashyralyev, A.
2008
Optimal control problems for impulsive systems with integral boundary conditions. Zbl 1286.49035
Ashyralyev, Allaberen; Sharifov, Yagub A.
2013
The structure of fractional spaces generated by a two-dimensional elliptic differential operator and its applications. Zbl 1305.35039
Ashyralyev, Allaberen; Akturk, Sema; Sozen, Yasar
2014
Determination of a control parameter for the Schrödinger equation. Zbl 1375.34090
Ashyralyev, Allaberen; Urun, Mesut
2013
A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem. Zbl 1253.65123
Ashyralyev, Allaberen; Yildirim, Ozgur
2012
Well-posedness of the right-hand side identification problem for a parabolic equation. Zbl 06411189
Ashyralyev, A.; Erdogan, A. S.
2014
On the second order implicit difference schemes for a right hand side identification problem. Zbl 1354.65182
Erdogan, A. S.; Ashyralyev, A.
2014
Finite-difference method for the hyperbolic system of equations with nonlocal boundary conditions. Zbl 1343.35151
Ashyralyev, Allaberen; Prenov, Rahat
2014
Well-posed solvability of the boundary value problem for difference equations of elliptic type. Zbl 0818.65046
Ashyralyev, Allaberen
1995
On the numerical solution of fractional hyperbolic partial differential equations. Zbl 1184.65083
Ashyralyev, Allaberen; Dal, Fadime; Pinar, Zehra
2009
On uniform difference schemes for second-order singular perturbation problems in Banach spaces. Zbl 0745.65037
Ashyralyev, A.; Fattorini, H. O.
1992
On the stability of the linear delay differential and difference equations. Zbl 1002.65098
Ashyralyev, A.; Sobolevskii, P. E.
2001
The stability of difference schemes of second-order of accuracy for hyperbolic-parabolic equations. Zbl 1137.65054
Ashyralyev, A.; Yurtsever, H. A.
2006
A note on the difference schemes for hyperbolic-elliptic equations. Zbl 1133.65058
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
2006
On a difference scheme of fourth order of accuracy for the Bitsadze-Samarskii type nonlocal boundary value problem. Zbl 1282.65088
Ashyralyev, A.; Ozturk, E.
2013
Taylor’s decomposition on four points for solving third-order linear time-varying systems. Zbl 1298.65107
Ashyralyev, Allaberen; Arjmand, Doghonay; Koksal, Muhammet
2009
Well-posedness of fractional parabolic equations. Zbl 1283.65067
Ashyralyev, Allaberen
2013
On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes. Zbl 1283.65068
Ashyralyev, Allaberen; Yildirim, Ozgur
2013
Finite difference method for hyperbolic equations with the nonlocal integral condition. Zbl 1217.65167
Ashyralyev, Allaberen; Aggez, Necmettin
2011
Well-posed solvability of the Cauchy problem for difference equations of parabolic type. Zbl 0818.65047
Ashyralyev, Allaberen; Sobolevskij, Pavel Evseyevich
1995
A note on Bitsadze-Samarskii type nonlocal boundary value problems: well-posedness. Zbl 1278.65074
Ashyralyev, Allaberen; Tetikoğlu, Fatma Songül Özesenli
2013
Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions. Zbl 1390.34071
Ashyralyev, Allaberen; Sharifov, Yagub A.
2013
Interpolation theory of linear operators and stability of difference schemes. Zbl 0598.65038
Ashyralyev, A. O.; Sobolevskij, P. E.
1984
Well-posedness of the difference schemes for elliptic equations in $$C_\tau^{\beta,\gamma}(E)$$ spaces. Zbl 1166.65023
Ashyralyev, Allaberen
2009
On the modified Crank-Nicolson difference schemes for parabolic equation with non-smooth data arising in biomechanics. Zbl 1198.65160
Ashyralyev, Allaberen; Erdogan, Abdullah Said; Arslan, Nurullah
2010
Stability estimates of difference schemes for neutral delay differential equations. Zbl 0991.65069
Ashyralyev, Allaberen; Akça, Haydar
2001
Difference schemes of high order accuracy for parabolic equations with variable coefficients. Zbl 0652.65063
Ashyralyev, A.; Sobolevskij, P. E.
1988
Nonlocal boundary-value problems for PDE: well-posedness. Zbl 1119.35336
Ashyralyev, Allaberen
2004
A note on the Taylor’s decomposition on four points for a third-order differential equation. Zbl 1130.65068
Ashyralyev, Allaberen; Arjmand, Doghonay
2007
On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems. Zbl 1198.65120
Ashyralyev, Allaberen; Gercek, Okan
2010
On source identification problem for a hyperbolic-parabolic equation. Zbl 1403.35323
Ashyralyev, Allaberen; Ashyralyyeva, Maral Allaberenovna
2015
Positive solutions for a system of fractional differential equations with nonlocal integral boundary conditions. Zbl 1433.34010
Guezane-Lakoud, Assia; Ashyralyev, Allaberen
2017
A note on fractional spaces generated by the positive operator with periodic conditions and applications. Zbl 1334.34135
Ashyralyev, Allaberen; Tetikoglu, Fatih Sabahattin
2015
On the second order of accuracy difference schemes of the nonlocal boundary value problem for parabolic equations. Zbl 1040.65075
Ashyralyev, A.; Karatay, I.
2003
An operator-difference scheme for abstract Cauchy problems. Zbl 1219.65087
Ashyralyev, Allaberen; Koksal, Mehmet Emir; Agarwal, Ravi P.
2011
On the numerical solution of hyperbolic PDEs with variable space operator. Zbl 1172.65046
Ashyralyev, Allaberen; Koksal, Mehmet Emir
2009
On stable implicit difference scheme for hyperbolic-parabolic equations in a Hilbert space. Zbl 1175.65103
Ashyralyev, Allaberen; Ozdemir, Yildirim
2009
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Zbl 1102.65085
Ashyralyev, Allaberen; Sobolevskiĭ, Pavel E.
2006
On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem. Zbl 1305.65214
Ashyralyev, Allaberen; Ozturk, Elif
2014
Computational fluid flow solution over endothelial cells inside the capillary vascular system. Zbl 1195.76445
Arslan, Nurullah; Erdogan, Abdullah Said; Ashyralyev, Allaberen
2008
Finite difference method for multipoint nonlocal elliptic-parabolic problems. Zbl 1205.65230
Ashyralyev, Allaberen; Gercek, Okan
2010
Well-posedness of a parabolic equation with nonlocal boundary condition. Zbl 06416806
Ashyralyev, Allaberen; Sarsenbi, Abdizhahan
2015
Well-posedness of delay parabolic equations with unbounded operators acting on delay terms. Zbl 1304.35380
Ashyralyev, Allaberen; Agirseven, Deniz
2014
Stability of boundary-value problems for third-order partial differential equations. Zbl 1370.35084
Ashyralyev, Allaberen; Belakroum, Kheireddine; Guezane-Lakoud, Assia
2017
High-accuracy stable difference schemes for well-posed NBVP. Zbl 1179.65056
Ashyralyev, Allaberen
2009
Well-posedness of parabolic differential and difference equations. Zbl 1201.35064
Ashyralyev, Allaberen; Sözen, Yaşar
2010
A note on the second order of accuracy difference schemes for hyperbolic–parabolic equations. Zbl 1074.65100
Ashyralyev, A.; Yurtsever, H. A.
2005
On the two new approaches for construction of the high order of accuracy difference schemes for the second order differential equations. Zbl 1053.65054
Ashyralyev, A.; Sobolevskii, P. E.
2003
Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator. Zbl 1229.65147
Ashyralyev, Allaberen; Yildirim, Ozgur
2011
An investigation on finite difference method for the first order partial differential equation with the nonlocal boundary condition. Zbl 1443.65115
Ashyralyev, Allaberen; Erdogan, Abdullah S.; Tekalan, Sueda N.
2019
Estimate of the convergence of modified Crank-Nicolson difference schemes for parabolic equations with nonsmooth input data. Zbl 0674.65031
Ashyralyev, A.
1989
A note on the parabolic differential and difference equations. Zbl 1153.35353
Ashyralyev, Allaberen; Sozen, Yasar; Sobolevskii, Pavel E.
2007
Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions. Zbl 1286.35247
Ashyralyev, Allaberen; Emirov, Nazar; Cakir, Zafer
2014
An approximation of stochastic hyperbolic equations: case with Wiener process. Zbl 1281.65006
Ashyralyev, Allaberen; Akat, Muzaffer
2013
On the stable difference schemes for the Schrödinger equation with time delay. Zbl 1437.65159
Ashyralyev, Allaberen; Agirseven, Deniz
2020
Identification problem for telegraph-parabolic equations. Zbl 1450.35287
Ashyralyev, A.; Ashyraliyev, M.; Ashyralyyeva, M. A.
2020
An investigation on finite difference method for the first order partial differential equation with the nonlocal boundary condition. Zbl 1443.65115
Ashyralyev, Allaberen; Erdogan, Abdullah S.; Tekalan, Sueda N.
2019
Source identification problems for hyperbolic differential and difference equations. Zbl 1429.65117
Ashyralyev, Allaberen; Emharab, Fathi
2019
A note on fractional powers of strongly positive operators and their applications. Zbl 07115434
2019
The structure of fractional spaces generated by a two-dimensional neutron transport operator and its applications. Zbl 1435.47045
2019
Well-posedness of a nonlocal boundary value difference elliptic problem. Zbl 1447.65015
2019
Bounded solutions of nonlinear hyperbolic equations with time delay. Zbl 1386.35274
Ashyralyev, Allaberen; Agirseven, Deniz
2018
A stable second order of accuracy difference scheme for a fractional Schrödinger differential equation. Zbl 1452.65147
Ashyralyev, A.; Hicdurmaz, B.
2018
A note on the nonlocal boundary value problem for a third order partial differential equation. Zbl 07461925
Belakroum, Kh.; Ashyralyev, A.; Guezane-Lakoud, A.
2018
Well-posedness of a parabolic equation with involution. Zbl 06830114
Ashyralyev, Allaberen; Sarsenbi, Abdizhahan
2017
Positive solutions for a system of fractional differential equations with nonlocal integral boundary conditions. Zbl 1433.34010
Guezane-Lakoud, Assia; Ashyralyev, Allaberen
2017
Stability of boundary-value problems for third-order partial differential equations. Zbl 1370.35084
Ashyralyev, Allaberen; Belakroum, Kheireddine; Guezane-Lakoud, Assia
2017
An operator method for a third order partial differential equation. Zbl 1382.65150
Ashyralyev, Allaberen; Simsek, Sinem N.
2017
Existence and uniqueness results for an inverse problem for semilinear parabolic equations. Zbl 07382503
Sazaklioglu, Ali Ugur; Ashyralyev, Allaberen; Erdogan, Abdullah Said
2017
Investigation of a time-dependent source identification inverse problem with integral overdetermination. Zbl 1387.65081
Ashyralyev, Allaberen; Sazaklioglu, Ali Ugur
2017
Stability of a hyperbolic equation with the involution. Zbl 1403.35150
Ashyralyev, Allaberen; Sarsenbi, Abdizhahan M.
2017
Structure of fractional spaces generated by the difference operator and its applications. Zbl 1390.39061
Ashyralyev, Allaberen; Tetikoglu, Fatih Sabahattin
2017
Positivity of one-dimensional operator $$2m$$th order on the half-line and its applications. Zbl 06830118
Ashyralyev, Allaberen; Akturk, Sema
2017
Bounded solutions of delay nonlinear evolutionary equations. Zbl 1360.65208
Ashyralyev, Allaberen; Agirseven, Deniz; Ceylan, Burcu
2017
A stable numerical method for multidimensional time fractional Schrödinger equations. Zbl 1361.65056
Hicdurmaz, Betul; Ashyralyev, Allaberen
2016
On source identification problem for telegraph differential equations. Zbl 1353.35311
Ashyralyev, Allaberen; Çekiç, Fatma
2016
A note on positivity of one-dimensional elliptic differential operators. Zbl 1362.35112
Ashyralyev, Allaberen; Akturk, Sema
2016
Well-posedness of an elliptic equation with involution. Zbl 1335.35029
Ashyralyev, Allaberen; Sarsenbi, Abdizhahan M.
2015
A survey of results in the theory of fractional spaces generated by positive operators. Zbl 1369.47049
Ashyralyev, Allaberen
2015
On source identification problem for a hyperbolic-parabolic equation. Zbl 1403.35323
Ashyralyev, Allaberen; Ashyralyyeva, Maral Allaberenovna
2015
A note on fractional spaces generated by the positive operator with periodic conditions and applications. Zbl 1334.34135
Ashyralyev, Allaberen; Tetikoglu, Fatih Sabahattin
2015
Well-posedness of a parabolic equation with nonlocal boundary condition. Zbl 06416806
Ashyralyev, Allaberen; Sarsenbi, Abdizhahan
2015
An operator method for telegraph partial differential and difference equations. Zbl 1312.35135
Ashyralyev, Allaberen; Modanli, Mahmut
2015
Positivity of a one-dimensional difference operator in the half-line and its applications. Zbl 1338.47037
Ashyralyev, A.; Akturk, S.
2015
Second order equations in functional spaces: qualitative and discrete well-posedness. Zbl 1433.34081
Ashyralyev, A.; Pastor, J.; Piskarev, S.; Yurtsever, H. A.
2015
The structure of fractional spaces generated by multi-dimensional elliptic difference operator. Zbl 1422.35032
Ashyralyev, Allaberen; Akturk, Sema
2015
Well-posedness of delay parabolic difference equations. Zbl 1417.39054
Ashyralyev, Allaberen; Agirseven, Deniz
2014
On source identification problem for a delay parabolic equation. Zbl 1336.35363
Ashyralyev, Allaberen; Agirseven, Deniz
2014
Structure of fractional spaces generated by second order difference operators. Zbl 1293.47035
Ashyralyev, Allaberen; Nalbant, Neşe; Sözen, Yaşar
2014
On the problem of determining the parameter of an elliptic equation in a Banach space. Zbl 1336.35364
Ashyralyev, Allaberen; Ashyralyyev, Charyyar
2014
The structure of fractional spaces generated by a two-dimensional elliptic differential operator and its applications. Zbl 1305.35039
Ashyralyev, Allaberen; Akturk, Sema; Sozen, Yasar
2014
Well-posedness of the right-hand side identification problem for a parabolic equation. Zbl 06411189
Ashyralyev, A.; Erdogan, A. S.
2014
On the second order implicit difference schemes for a right hand side identification problem. Zbl 1354.65182
Erdogan, A. S.; Ashyralyev, A.
2014
Finite-difference method for the hyperbolic system of equations with nonlocal boundary conditions. Zbl 1343.35151
Ashyralyev, Allaberen; Prenov, Rahat
2014
On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem. Zbl 1305.65214
Ashyralyev, Allaberen; Ozturk, Elif
2014
Well-posedness of delay parabolic equations with unbounded operators acting on delay terms. Zbl 1304.35380
Ashyralyev, Allaberen; Agirseven, Deniz
2014
Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions. Zbl 1286.35247
Ashyralyev, Allaberen; Emirov, Nazar; Cakir, Zafer
2014
On well-posedness of nonclassical problems for elliptic equations. Zbl 1320.65150
Ashyralyev, A.; Tetikoglu, F. S. Ozesenli
2014
Well-posedness of boundary-value problems for partial differential equations of even order. Zbl 1302.35111
Amanov, Djumaklych; Ashyralyev, Allaberen
2014
Nonlocal boundary value hyperbolic problems involving integral conditions. Zbl 1304.35393
Ashyralyev, Allaberen; Aggez, Necmettin
2014
Stability of delay parabolic difference equations. Zbl 1474.35221
Ashyralyev, Allaberen; Agirsevenb, Deniz
2014
$$r$$-modified Crank-Nicolson difference scheme for fractional parabolic PDE. ($$r$$-modified Crank-Nicholson difference scheme for fractional parabolic PDE.) Zbl 1308.65137
Ashyralyev, Allaberen; Cakir, Zafer
2014
On numerical solutions for hyperbolic-parabolic equations with the multipoint nonlocal boundary condition. Zbl 1293.65112
Ashyralyev, Allaberen; Ozdemir, Yildirim
2014
The hyperbolic-elliptic equation with the nonlocal condition. Zbl 1288.65133
Ashyralyev, Allaberen; Özger, Faruk
2014
Stability of difference schemes for Bitsadze-Samarskii type nonlocal boundary value problem involving integral condition. Zbl 1462.65167
Ashyralyev, Allaberen; Ozturk, Elif
2014
Stability of parabolic equations with unbounded operators acting on delay terms. Zbl 1297.35028
Ashyralyev, Allaberen; Agirseven, Deniz
2014
On convergence of difference schemes for delay parabolic equations. Zbl 1350.65096
Ashyralyev, Allaberen; Agirseven, Deniz
2013
FDM for fractional parabolic equations with the Neumann condition. Zbl 1380.65142
Ashyralyev, Allaberen; Cakir, Zafer
2013
Optimal control problems for impulsive systems with integral boundary conditions. Zbl 1286.49035
Ashyralyev, Allaberen; Sharifov, Yagub A.
2013
Determination of a control parameter for the Schrödinger equation. Zbl 1375.34090
Ashyralyev, Allaberen; Urun, Mesut
2013
On a difference scheme of fourth order of accuracy for the Bitsadze-Samarskii type nonlocal boundary value problem. Zbl 1282.65088
Ashyralyev, A.; Ozturk, E.
2013
Well-posedness of fractional parabolic equations. Zbl 1283.65067
Ashyralyev, Allaberen
2013
On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes. Zbl 1283.65068
Ashyralyev, Allaberen; Yildirim, Ozgur
2013
A note on Bitsadze-Samarskii type nonlocal boundary value problems: well-posedness. Zbl 1278.65074
Ashyralyev, Allaberen; Tetikoğlu, Fatma Songül Özesenli
2013
Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions. Zbl 1390.34071
Ashyralyev, Allaberen; Sharifov, Yagub A.
2013
An approximation of stochastic hyperbolic equations: case with Wiener process. Zbl 1281.65006
Ashyralyev, Allaberen; Akat, Muzaffer
2013
High order accurate difference schemes for hyperbolic IBVP. Zbl 1352.65223
Ashyralyev, Allaberen; Yildirim, Ozgur
2013
Determination of a control parameter for the difference Schrödinger equation. Zbl 1291.65091
Ashyralyev, Allaberen; Urun, Mesut
2013
Stability of implicit difference scheme for solving the identification problem of a parabolic equation. Zbl 1352.65310
Erdogan, Abdullah Said; Ashyralyev, Allaberen
2013
On stability of a third order of accuracy difference scheme for hyperbolic nonlocal BVP with self-adjoint operator. Zbl 1470.65147
Ashyralyev, Allaberen; Yildirim, Ozgur
2013
On the numerical solution of fractional Schrödinger differential equations with the Dirichlet condition. Zbl 1255.65156
Ashyralyev, Allaberen; Hicdurmaz, Betul
2012
On the determination of the right-hand side in a parabolic equation. Zbl 1259.65139
Ashyralyev, A.; Erdogan, A. S.; Demirdag, O.
2012
On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: well-posedness. Zbl 1291.34099
Ashyralyev, Allaberen; Ozturk, Elif
2012
Existence and uniqueness of solutions for the system of nonlinear fractional differential equations with nonlocal and integral boundary conditions. Zbl 1246.34004
Ashyralyev, Allaberen; Sharifov, Yagub A.
2012
On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition. Zbl 1248.65085
Ashyralyev, Allaberen; Cakir, Zafer
2012
FDM for elliptic equations with Bitsadze-Samarskii-Dirichlet conditions. Zbl 1261.65107
Ashyralyev, Allaberen; Tetikoglu, Fatma Songul Ozesenli
2012
Finite difference and iteration methods for fractional hyperbolic partial differential equations with the Neumann condition. Zbl 1248.65086
2012
The numerical solution of the Bitsadze-Samarskii nonlocal boundary value problems with the Dirichlet-Neumann condition. Zbl 1246.65196
Ashyralyev, Allaberen; Ozturk, Elif
2012
Initial-boundary value problem for fractional partial differential equations of higher order. Zbl 1246.35201
Amanov, Djumaklych; Ashyralyev, Allaberen
2012
A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem. Zbl 1253.65123
Ashyralyev, Allaberen; Yildirim, Ozgur
2012
An approximation of ultra-parabolic equations. Zbl 1246.65147
Ashyralyev, Allaberen; Yılmaz, Serhat
2012
Modified Crank-Nicholson difference schemes for ultra-parabolic equations. Zbl 1268.65109
Ashyralyev, Allaberen; Yilmaz, Serhat
2012
Coercive solvability of parabolic differential equations with dependent operators. Zbl 1264.35111
2012
The hyperbolic system of equations with nonlocal boundary conditions. Zbl 1261.35086
Ashyralyev, A.; Prenov, R.
2012
On a difference scheme of the second order of accuracy for elliptic-parabolic equations. Zbl 1280.65115
Gercek, Okan; Ashyralyev, Allaberen
2012
A note on the fractional hyperbolic differential and difference equations. Zbl 1221.65212
Ashyralyev, Allaberen; Dal, Fadime; Pınar, Zehra
2011
Well-posedness of the Basset problem in spaces of smooth functions. Zbl 1217.34006
Ashyralyev, Allaberen
2011
Finite difference method for hyperbolic equations with the nonlocal integral condition. Zbl 1217.65167
Ashyralyev, Allaberen; Aggez, Necmettin
2011
An operator-difference scheme for abstract Cauchy problems. Zbl 1219.65087
Ashyralyev, Allaberen; Koksal, Mehmet Emir; Agarwal, Ravi P.
2011
Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator. Zbl 1229.65147
Ashyralyev, Allaberen; Yildirim, Ozgur
2011
A note on the parabolic equation with an arbitrary parameter at the derivative. Zbl 1235.65053
Ashyralyev, Allaberen; Sözen, Yaşar
2011
A note on the well-posedness of the nonlocal boundary value problem for elliptic-parabolic equations. Zbl 1340.35232
Ashyralyev, Allaberen
2011
On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations. Zbl 1201.65128
Ashyralyev, Allaberen; Yildirim, Ozgur
2010
A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator. Zbl 1201.65150
Ashyralyev, Allaberen; Koksal, Mehmet Emir; Agarwal, Ravi P.
2010
On the problem of determining the parameter of a parabolic equation. Zbl 1240.35305
Ashyralyev, A.
2010
On the modified Crank-Nicolson difference schemes for parabolic equation with non-smooth data arising in biomechanics. Zbl 1198.65160
Ashyralyev, Allaberen; Erdogan, Abdullah Said; Arslan, Nurullah
2010
On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems. Zbl 1198.65120
Ashyralyev, Allaberen; Gercek, Okan
2010
Finite difference method for multipoint nonlocal elliptic-parabolic problems. Zbl 1205.65230
Ashyralyev, Allaberen; Gercek, Okan
2010
Well-posedness of parabolic differential and difference equations. Zbl 1201.35064
Ashyralyev, Allaberen; Sözen, Yaşar
2010
A note on the integral inequalities with two dependent limits. Zbl 1197.26023
Ashyralyev, Allaberen; Misirli, Emine; Mogol, Ozlem
2010
A note on fractional derivatives and fractional powers of operators. Zbl 1175.26004
Ashyralyev, A.
2009
On the numerical solution of fractional hyperbolic partial differential equations. Zbl 1184.65083
Ashyralyev, Allaberen; Dal, Fadime; Pinar, Zehra
2009
Taylor’s decomposition on four points for solving third-order linear time-varying systems. Zbl 1298.65107
Ashyralyev, Allaberen; Arjmand, Doghonay; Koksal, Muhammet
2009
Well-posedness of the difference schemes for elliptic equations in $$C_\tau^{\beta,\gamma}(E)$$ spaces. Zbl 1166.65023
Ashyralyev, Allaberen
2009
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